(x-4)(x-4) find the product
Answers
Answer:
=x²-4²
=x²-16
here's the product (x²-16)
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Answer:
Since the given equation is a bi-quadratic equation (highest power of the variable x is 4), the equation is bound to have 4 roots.
Also, since we have no direct method for factorizing the roots of the equation we may use the following method:
x4−10=0;
Assume y= x2, where y is any variable
The equation now simplifies to a quadratic equation;
y2−10=0;
(y+10−−√)(y−10−−√) =0;
Hence, for the equation to evaluate to zero, the possible values of y are:
y=+10−−√ or −10−−√;
Now this implies:
x2= +10−−√ or −10−−√;
Since we already have the product of two pairs of roots (values of x), we do not need to find the individual values of x.
We may simply multiply the two possible values of x2;
Products of roots = (+10−−√)∗(−10−−√)=−10;
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Step-by-step explanation:
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